{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root is at:  -2.0000000929222947\n",
      "f(x) at root is:  3.716891878724482e-07\n",
      "Root is at:  2.000000000026214\n",
      "f(x) at root is:  1.0485656787295738e-10\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return x**2-4\n",
    "\n",
    "def df(x):\n",
    "    return 2*x\n",
    "\n",
    "def dx(f, x):\n",
    "    return abs(0-f(x))\n",
    "\n",
    "def newtons_method(f, df, x0, e):\n",
    "    delta = dx(f, x0)\n",
    "    while delta > e:\n",
    "        x0 = x0 - f(x0)/df(x0)\n",
    "        delta = dx(f, x0)\n",
    "    print('Root is at: ', x0)\n",
    "    print('f(x) at root is: ', f(x0))\n",
    "    \n",
    "x0s = [-1, 3]\n",
    "for x0 in x0s:\n",
    "    newtons_method(f, df, x0, 1e-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x: 1.537656185231936\n",
      "y: 1.3761515837984462e-07\n",
      "x: -0.6666666821537157\n",
      "y: 3.097409884134095e-08\n",
      "x: 1.5376561721368756\n",
      "y: 4.458405200580273e-09\n",
      "x: 1.763188089766313e-06\n",
      "y: 3.526385506029346e-06\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return x**3 + x**2 - 6\n",
    "\n",
    "def df(x):\n",
    "    return 3*x**2 + 2*x\n",
    "\n",
    "def ddf(x):\n",
    "    return 6*x + 2\n",
    "\n",
    "def newtons_method(f, df, x0, e):\n",
    "    while(abs(0 - f(x0)) > e):\n",
    "        x0 = x0 - f(x0)/df(x0)\n",
    "    print('x:', x0)\n",
    "    print('y:', f(x0))\n",
    "\n",
    "x0s = [-1, 3]\n",
    "e = 1e-5\n",
    "\n",
    "for x0 in x0s:\n",
    "    newtons_method(f, df, x0, e)\n",
    "    newtons_method(df, ddf, x0, e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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8/nV5uT+WRUVci2qocB3tyC+k0OkmrppzbrjhBvr06cOdd955yP5p06Zx6623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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ff54991d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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t3e9+d1wTepAi5JixUJuk+T5jpQk5FkvNyclJbt26teg+Q+J8L9YywSyGWN4e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\nzEoHPMBCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ff506d5898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#!/usr/bin/python\n",
    "# -*- coding: utf-8 -*-\n",
    "#copyRight by heibanke \n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "X, Y = np.meshgrid(np.linspace(-5, 10, 100), np.linspace(-5, 10, 100))\n",
    "\n",
    "A = np.matrix([[4.0,2.0],[1.0,3.0]])\n",
    "B = np.matrix([[3.0],[2.0]])\n",
    "\n",
    "R=A.T.dot(A)\n",
    "P=A.T.dot(B)\n",
    "\n",
    "def cost_func(X,Y):\n",
    "    return R[0,0]*(X**2)+R[1,1]*(Y**2)+(R[0,1]+R[1,0])*X*Y-2*P[0,0]*X-2*P[1,0]*Y\n",
    "\n",
    "z = cost_func(X,Y)\n",
    "\n",
    "\n",
    "# w, w_n分别用来存最速下降和牛顿法的迭代过程\n",
    "w=np.matrix([[0],[-4]])\n",
    "w_n=np.matrix([[0],[-4]])\n",
    "\n",
    "# 梯度下降法\n",
    "for i in range(100):\n",
    "    w_t = w[:,-1]\n",
    "    w=np.hstack((w,w_t-0.01*(R.dot(w_t)-P)))\n",
    "\n",
    "# NewTon法 \n",
    "\n",
    "#Hessian matrix\n",
    "H=np.matrix([[2.0*R[0,0],R[0,1]+R[1,0]],[R[0,1]+R[1,0],2.0*R[1,1]]])\n",
    "\n",
    "for i in range(30):\n",
    "    w_t = w_n[:,-1]\n",
    "    w_n=np.hstack((w_n,w_t-H.I.dot(R.dot(w_t)-P)))\n",
    "    \n",
    "w = np.array(w)\n",
    "w_n = np.array(w_n)\n",
    "\n",
    "# 学习曲线\n",
    "L=cost_func(w[0,:], w[1,:])\n",
    "L_n=cost_func(w_n[0,:], w_n[1,:])\n",
    "\n",
    "\n",
    "# 输出图形\n",
    "# 2d plot\n",
    "\n",
    "f, (ax1, ax2) = plt.subplots(1, 2)\n",
    "CS = ax1.contour(X, Y, z)\n",
    "ax1.plot(w[0,:], w[1,:], 'bo',w_n[0,:],w_n[1,:],'ro')\n",
    "\n",
    "ax1.clabel(CS, inline=1, fontsize=10)\n",
    "ax1.set_title('contour')\n",
    "ax1.set_xlabel('w0')\n",
    "ax1.set_ylabel('w1')\n",
    "ax1.legend(('grad', 'Newton'))\n",
    "ax1.grid(True)\n",
    "\n",
    "\n",
    "ax2.plot(range(101),L,'b',range(31),L_n,'r')\n",
    "ax2.set_title('cost learn curve')\n",
    "ax2.set_ylabel('cost')\n",
    "ax2.legend(('grad', 'Newton'))\n",
    "ax2.grid(True)\n",
    "\n",
    "\n",
    "\n",
    "# 3d plot\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_surface(X,Y, z, rstride=4, cstride=4, color='b')\n",
    "ax.plot(w[0,:],w[1,:],L,'ro')\n",
    "ax.plot(w_n[0,:],w_n[1,:],L_n,'go')\n",
    "ax.legend(('grad', 'Newton'))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "http://blog.csdn.net/shouhuxianjian/article/details/46669365\n",
    "http://blog.csdn.net/pipisorry/article/details/68961388\n",
    "http://blog.csdn.net/mounty_fsc/article/details/51588794\n",
    "https://en.wikipedia.org/wiki/Matrix_calculus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YM2aMsLW1FZs3bxaVK1cW69at++x7kZP7iHzUqlUr7ty5w4ULF9SOIkmSlrGwsCAwMJCI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3z//fd3SX7eeefl3N9pXzU3N/stt9zi48ePdzPzCy+80NevXx92WaFoaWnxO++80w888ECX5LNn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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ff51944828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "A = np.matrix([[4.0,2.0],[1.0,3.0]])\n",
    "B = np.matrix([[3.0],[2.0]])\n",
    "\n",
    "# 目标函数：(AX-B)^T(AX-B)\n",
    "def f_objective(X):\n",
    "    R = A.dot(X)-B\n",
    "    return R.T.dot(R)\n",
    "\n",
    "# 一阶导数：2A^TAX-2A^TB Jacobian矩阵 雅克比矩阵\n",
    "def f_jacobian(X):\n",
    "    return 2*A.T.dot(A).dot(X) - 2*A.T.dot(B)\n",
    "\n",
    "# 二阶导数：2A^TA Hessian矩阵 海森矩阵\n",
    "def f_hessian():\n",
    "    return 2*A.T.dot(A)\n",
    "\n",
    "# 根据目标函数求解在三维图中对应的Z值\n",
    "def f_z(X, Y):\n",
    "    Z = np.zeros(X.shape)\n",
    "    for index in np.ndindex(X.shape):\n",
    "        Z[index] = f_objective(np.matrix([[X[index]],[Y[index]]]))\n",
    "    return Z\n",
    "    \n",
    "# 将X的两个维度分别当做三维图中的X,Y，X如果大于2维图形就表示不出来了\n",
    "N = 100\n",
    "X, Y = np.meshgrid(np.linspace(-5, 5, N), np.linspace(-5, 5, N))\n",
    "Z = f_z(X, Y)\n",
    "\n",
    "# 梯度下降法\n",
    "data_gradient = np.matrix([[0],[-4]])\n",
    "for i in range(40):\n",
    "    data_gradient=np.hstack((data_gradient,data_gradient[:,-1] - 0.01 * f_jacobian(data_gradient[:,-1])))\n",
    "z_gradient = f_z(data_gradient[0,:], data_gradient[1,:])\n",
    "z_gradient = np.array(z_gradient)\n",
    "\n",
    "# 牛顿法 \n",
    "data_newton = np.matrix([[0],[-4]])\n",
    "for i in range(40):\n",
    "    data_newton=np.hstack((data_newton,data_newton[:,-1] - f_hessian().I * f_jacobian(data_newton[:,-1])))\n",
    "z_newton = f_z(data_newton[0,:], data_newton[1,:])\n",
    "z_newton = np.array(z_newton)\n",
    "\n",
    "# 图形绘制\n",
    "fig = plt.figure(figsize=(9,18))\n",
    "ax1 = fig.add_subplot(311)\n",
    "ax2 = fig.add_subplot(312)\n",
    "ax3 = fig.add_subplot(313, projection='3d')\n",
    "\n",
    "# 等高线\n",
    "# cset = ax1.contourf(X, Y, Z)\n",
    "c = ax1.contour(X, Y, Z, colors = 'black')\n",
    "ax1.clabel(c)\n",
    "ax1.plot(data_gradient[0], data_gradient[1],'bo')\n",
    "ax1.plot(data_newton[0], data_newton[1], 'ro')\n",
    "\n",
    "# 迭代图对比\n",
    "ax2.plot(range(z_gradient.size), z_gradient[0], 'b')\n",
    "ax2.plot(range(z_newton.size), z_newton[0], 'r')\n",
    "ax2.legend(('gradient', 'newton'))\n",
    "\n",
    "# 目标函数的3D图\n",
    "ax3.plot_surface(X, Y, Z, rstride=1, cstride=1, color='c')\n",
    "ax3.scatter(data_gradient[0], data_gradient[1], z_gradient, c='b')\n",
    "ax3.scatter(data_newton[0], data_newton[1], z_newton, c='r')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
